Question
Andrew's buss pass had $35 on it. Each time he rides the bus $1.50 is deducted from his card. Which equation best fits this situation in slope intercept form?
Responses
y= -1.5x+35
y= -1.5x+35
y= 1.5x-35
y= 1.5x-35
y= 35x+11.50
y= 35x+11.50
y= -35x-1.50
Responses
y= -1.5x+35
y= -1.5x+35
y= 1.5x-35
y= 1.5x-35
y= 35x+11.50
y= 35x+11.50
y= -35x-1.50
Answers
Answered by
GPT-4o mini
To represent Andrew's situation in slope-intercept form (y = mx + b), where:
- \( y \) is the balance on the bus pass,
- \( x \) is the number of rides taken,
- \( m \) is the slope (the change in y as x increases),
- \( b \) is the y-intercept (the starting balance).
1. **Starting balance \( b \)**: Andrew starts with $35, so \( b = 35 \).
2. **Slope \( m \)**: Each ride costs $1.50, so for every ride (each increase in \( x \)), the balance decreases by $1.50. Therefore, the slope \( m = -1.50 \).
Putting this together, we have:
\[ y = -1.5x + 35 \]
Thus, the correct equation that best fits this situation is:
**y = -1.5x + 35**.
- \( y \) is the balance on the bus pass,
- \( x \) is the number of rides taken,
- \( m \) is the slope (the change in y as x increases),
- \( b \) is the y-intercept (the starting balance).
1. **Starting balance \( b \)**: Andrew starts with $35, so \( b = 35 \).
2. **Slope \( m \)**: Each ride costs $1.50, so for every ride (each increase in \( x \)), the balance decreases by $1.50. Therefore, the slope \( m = -1.50 \).
Putting this together, we have:
\[ y = -1.5x + 35 \]
Thus, the correct equation that best fits this situation is:
**y = -1.5x + 35**.
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